Spectral analysis and parameter estimation in levitated optomechanics
arXiv:1903.01354 · doi:10.1364/JOSAB.36.001565
Abstract
Optical levitation of nanoscale particles has emerged as a platform for precision measurement. Extremely low damping, together with optical interferometric position detection, makes possible exquisite force measurement and promises low-energy tests of fundamental physics. Essential to such measurement is an understanding of the confidence with which parameters can be inferred from spectra estimated from the indirect measurement provided by interferometry. We present an apparatus optimized for sensitivity along one motional degree of freedom, a theoretical model of the spectrum, and maximum likelihood estimation. The treatment accounts for the sinusoidal dependence of interferometric signal on particle position, and we use the technique to extract thermodynamic quantities in a regime where simpler treatments are confounded.
9 pages, 9 figures
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- Optomechanics with Levitated Particles
- Optimal Position Detection of a Dipolar Scatterer in a Focused Field
- Generation of classical non-Gaussian distributions by squeezing a thermal state into non-linear motion of levitated optomechanics
- Roto-translational optomechanics
- Position measurement of a dipolar scatterer via self-homodyne detection
- Weighing an optically trapped microsphere in thermal equilibrium with air